7452676512 has 180 divisors, whose sum is σ = 23285596950. Its totient is φ = 2337859584.

The previous prime is 7452676501. The next prime is 7452676523. The reversal of 7452676512 is 2156762547.

7452676512 is a `hidden beast` number, since 7 + 4 + 526 + 76 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7452676501) and next prime (7452676523).

It can be written as a sum of positive squares in 3 ways, for example, as 7285646736 + 167029776 = 85356^2 + 12924^2 .

It is a super-3 number, since 3×7452676512³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 744114 + ... + 754062.

Almost surely, 2^7452676512 is an apocalyptic number.

7452676512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7452676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642798475).

7452676512 is an abundant number, since it is smaller than the sum of its proper divisors (15832920438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7452676512 is a wasteful number, since it uses less digits than its factorization.

7452676512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005 (or 9971 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 7452676512 is about 86328.8857335712. The cubic root of 7452676512 is about 1953.3081266833.

The spelling of 7452676512 in words is "seven billion, four hundred fifty-two million, six hundred seventy-six thousand, five hundred twelve".